Topologically massive models for higher-spin gauge fields are higher-spin extensions of linearised topologically massive gravity [1]}, [2]}, and were proposed in [3]} in both Minkowski and AdS space. They are obtained by coupling the AdS\(_3\)  counterparts of
the massless Fronsdal [4]} and
Fang-Fronsdal [5]} actions to the bosonic (even \(n\) ) and fermionic
(odd \(n\) ) Chern-Simons action (REF ), respectively. However, since the latter is constructed using the higher-spin Cotton tensor, whose explicit form was not known at the time of writing [3]}, the on-shell analysis was restricted to the case of Minkowski space only. In this section we address this issue and take a brief look at the on-shell content of these models in AdS\(_3\) .
